Large D gravity and charged membrane dynamics with nonzero cosmological constant

Abstract

In this paper, we have found a class of dynamical charged 'black-hole' solutions to Einstein-Maxwell system with a non-zero cosmological constant in a large number of spacetime dimensions. We have solved up to the first sub-leading order using large D scheme where the inverse of the number of dimensions serves as the perturbation parameter. The system is dual to a dynamical membrane with a charge and a velocity field, living on it. The dual membrane has to be embedded in a background geometry that itself, satisfies the pure gravity equation in presence of a cosmological constant. Pure AdS / dS are particular examples of such background. We have also obtained the membrane equations governing the dynamics of the charged membrane. The consistency of our membrane equations is checked by calculating the quasi-normal modes with different Einstein-Maxwell systems in AdS/dS.

arXiv comment63 pages, v3: appendix added, Accepted for publication in JHEP

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Cited by in corpus (12)

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• Rotating black holes and black bars at large D
• Charged rotating black holes in higher dimensions
• Stationary Solutions from the Large D Membrane Paradigm
• A leading-order comparison between fluid-gravity and membrane-gravity dualities
• Large D membrane for Higher Derivative Gravity and Black Hole Second Law
• The large $D$ membrane paradigm for general four-derivative theory of gravity with a cosmological constant
• The Fate of Instability of de Sitter Black Holes at Large $D$
• Fluid-gravity and membrane-gravity dualities - Comparison at subleading orders
• Black Rings in Large $D$ Membrane Paradigm at the First Order
• General Theory of Large D Membranes Consistent with Second Law of Thermodynamics
• Study of Semiclassical Instability of the Schwarzschild AdS Black Hole in the Large $D$ Limit